10.42 is what percent of 12 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 12 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 12, so we can write it down as 100%=12.
4. We know, that x% equals 10.42 of the output value, so we can write it down as x%=10.42.
5. Now we have two simple equations:
1) 100%=12
2) x%=10.42
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=12/10.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.42 is what percent of 12

100%/x%=12/10.42
(100/x)*x=(12/10.42)*x       - we multiply both sides of the equation by x
100=1.1516314779271*x       - we divide both sides of the equation by (1.1516314779271) to get x
100/1.1516314779271=x
86.833333333333=x
x=86.833333333333

now we have:
10.42 is 86.833333333333% of 12